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Uniqueness of Moore's higher reciprocity law at the prime 2 for real number fields
Published online by Cambridge University Press: 07 January 2008
Abstract
Let F be a real number field with r1 real embeddings. In this paper, we prove that the sequence
is a complex, where are the Tate cohomology groups. Moreover if i ≡ 0, 1, or 2 (mod 4), then it is exact; if i ≡ 3 (mod 4), then the homology group at the second term of this complex is isomorphic to .
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- Copyright © ISOPP 2008